{
  "id": "1009.0546",
  "version": "v3",
  "published": "2010-09-02T21:24:27.000Z",
  "updated": "2010-11-23T22:18:28.000Z",
  "title": "Application of Edwards' statistical mechanics to high dimensional jammed sphere packings",
  "authors": [
    "Yuliang Jin",
    "Patrick Charbonneau",
    "Sam Meyer",
    "Chaoming Song",
    "Francesco Zamponi"
  ],
  "comment": "13 pages, 7 figures",
  "journal": "Physical Review E 82, 051126 (2010)",
  "doi": "10.1103/PhysRevE.82.051126",
  "categories": [
    "cond-mat.stat-mech",
    "cond-mat.dis-nn"
  ],
  "abstract": "The isostatic jamming limit of frictionless spherical particles from Edwards' statistical mechanics [Song \\emph{et al.}, Nature (London) {\\bf 453}, 629 (2008)] is generalized to arbitrary dimension $d$ using a liquid-state description. The asymptotic high-dimensional behavior of the self-consistent relation is obtained by saddle-point evaluation and checked numerically. The resulting random close packing density scaling $\\phi\\sim d\\,2^{-d}$ is consistent with that of other approaches, such as replica theory and density functional theory. The validity of various structural approximations is assessed by comparing with three- to six-dimensional isostatic packings obtained from simulations. These numerical results support a growing accuracy of the theoretical approach with dimension. The approach could thus serve as a starting point to obtain a geometrical understanding of the higher-order correlations present in jammed packings.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2010-11-23T22:18:28.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05.20.-y",
      "45.70.-n"
    ],
    "keywords": [
      "high dimensional jammed sphere packings",
      "statistical mechanics",
      "random close packing density",
      "close packing density scaling",
      "application"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Physical Review E",
      "year": 2010,
      "month": "Nov",
      "volume": 82,
      "number": 5,
      "pages": "051126"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 13,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010PhRvE..82e1126J"
    }
  }
}